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111400432 = 241113181269
BaseRepresentation
bin1101010001111…
…01010111110000
321202121201122221
412220331113300
5212004303212
615015410424
72521613413
oct650752760
9252551587
10111400432
1157978880
1231383a14
131a105920
1410b1bb7a
159ba7807
hex6a3d5f0

111400432 has 80 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 46310400.

The previous prime is 111400427. The next prime is 111400433. The reversal of 111400432 is 234004111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111400433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413994 + ... + 414262.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2111400432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

111400432 is an abundant number, since it is smaller than the sum of its proper divisors (144520688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111400432 is a wasteful number, since it uses less digits than its factorization.

111400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 111400432 is about 10554.6403065192. The cubic root of 111400432 is about 481.1667680425.

Adding to 111400432 its reverse (234004111), we get a palindrome (345404543).

The spelling of 111400432 in words is "one hundred eleven million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 181 208 269 286 362 538 572 724 1076 1144 1448 1991 2152 2288 2353 2896 2959 3497 3982 4304 4706 5918 6994 7964 9412 11836 13988 15928 18824 23672 25883 27976 31856 37648 38467 47344 48689 51766 55952 76934 97378 103532 153868 194756 207064 307736 389512 414128 535579 615472 632957 779024 1071158 1265914 2142316 2531828 4284632 5063656 6962527 8569264 10127312 13925054 27850108 55700216 111400432